2(8-3y)=4y-9

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Solution for 2(8-3y)=4y-9 equation:


Simplifying
2(8 + -3y) = 4y + -9
(8 * 2 + -3y * 2) = 4y + -9
(16 + -6y) = 4y + -9

Reorder the terms:
16 + -6y = -9 + 4y

Solving
16 + -6y = -9 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
16 + -6y + -4y = -9 + 4y + -4y

Combine like terms: -6y + -4y = -10y
16 + -10y = -9 + 4y + -4y

Combine like terms: 4y + -4y = 0
16 + -10y = -9 + 0
16 + -10y = -9

Add '-16' to each side of the equation.
16 + -16 + -10y = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -10y = -9 + -16
-10y = -9 + -16

Combine like terms: -9 + -16 = -25
-10y = -25

Divide each side by '-10'.
y = 2.5

Simplifying
y = 2.5

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